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Finding the Third Proportional to 20,840.63 and 45,852.75

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Solution

The third proportional to 20,840.63 and 45,852.75 is: 100,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.63 : 45,852.75 = 45,852.75 : x
  2. Step 2: Convert to fraction form
    20,840.63/45,852.75 = 45,852.75/x
  3. Step 3: Cross multiply
    20,840.63x = 45,852.75 × 45,852.75
  4. Step 4: Simplify right side
    20,840.63x = 2,102,474,682.56
  5. Step 5: Solve for x
    x = 2,102,474,682.56/20,840.63
  6. Step 6: Final answer
    x = 100,883.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.